A numerical method for solving nth-order boundary-value problems

Applied Mathematics and Computation

Volumn 196, Issue 2, 2008, Pages 889-897

  Hesaaraki, M ^a   Jalilian, Y ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Boundary value problems; System of integral differential equations; Variational iteration

Indexed keywords

NUMERICAL METHODS; PROBLEM SOLVING;

BOUNDARY-VALUE PROBLEMS; VARIATIONAL ITERATION;

DIFFERENTIAL EQUATIONS;

EID: 38649135139     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.07.023     Document Type: Article

References (18)

1. Caglar H.N., Caglar S.H., and Twizell E.E. The numerical solution of fifth order boundary-value problems with sixth degree B-spline functions. Appl. Math. Lett. 12 (1999) 25-30
2. Aslam Noor M., and Mohyud-Din S.T. Variational iteration technique for solving higher oreder boundary-value problems. Appl. Math. Comput. 189 (2007) 1929-1942
3. Mestrovic M. The modified decomposition method for eighth-order boundary-value problems. Appl. Math. Comput. 188 (2007) 1437-1444
4. A. Golbabai, M. Javidi, Application of homotopy perturbation method for solving eighth-order boundary-value problems, Appl. Math. Comput. in press, doi:10.1016/j.amc.2007.02.091.
5. He J.H. Variational iteration method-a kind of nonlinear analytical technique: some examples. Int. J. Nonlin. Mech. 34 (1999) 699-708
6. He J.H. Variational method for autonomous ordinary differential equations. Appl. Math. Comput. 114 (2000) 115-123
7. He J.H. Variational theory for linear magneto-electro-elasticity. Int. J. Nonlin. Sci. Numer. Simulat. 2 4 (2001) 309-316
8. He J.H. Variational principle for some nonlinear partial differential equations with variable coefficients. Chaos, Solitons Fract. 19 4 (2004) 847-851
9. Davies A.R., Karageoghis A., and Philips T.N. Spectral Galerkin methods for the primary two-point boundary-value problems in modeling viscoelastic flows. Int . J. Numer. Methods Eng. 26 (1988) 647-662
10. Karageoghis A., Philips T.N., and Davies A.R. Spectral collocation methods for the primary two-point boundary-value problems in modeling viscoelastic flows. Int. J. Numer. Methods Eng. 26 (1998) 805-813
11. He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Methods Appl. Mech. Eng. 167 (1998) 57-68
12. He J.H. Approximate solution of nonlinear differential equations with convolution product nonlinearities. Comput. Methods Appl. Mech. Eng. 167 (1998) 69-73
13. He J.H. A simple perturbation approach to Blasius equation. Appl. Math. Comput. 140 (2003) 217-222
14. He J.H., Wan Y.Q., and Guo Q. An iteration formulation for normalized diode characteristics. Int. J. Circ. Theory Appl. 32 (2004) 629-632
15. He J.H. A generalized variational principle in micromorphic thermoelasticity. Mech. Res. Commun. 32 (2005) 93-98
16. Liu H.M. Variational approach to nonlinear electrochemical system. Int. J. Nonlinear Sci. Numer. Simulat. 5 (2004) 95-96
17. Liu H.M. Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method. Chaos, Solitons Fract. 23 (2005) 573-576
18. S.Q. Wang, J.H. He, Variational iteration method for solving integro-differential equations, Phys. Lett. A, in press, doi:10.1016/j.physleta.2007.02.049.